To model this situation, we are going to use the exponential function:

where

is the initial number of cars

is the growing rate in decimal form

is number of tames the growing rate is increasing per year

is the time in years
To convert the growing rate to decimal form, we are going to divide the rate by 100%


Since the growing rate is increasing quarterly,

. We also know that the initial number of cars is 920, so

. Lets replace all those values in our function:



We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03
20x + 15y = 2000
x + y = 115
55+60=115
20 (55) + 15 (60)=2000
1100+900=2000
2000=2000
Answer:
−10%change
10%decrease
Step-by-step explanation:
V2−V1)|V1|×100
=(135−150)|150|×100
=−15150×100
=−0.1×100
=−10%change
=10%decrease
Note: Percent Change is NOT the same as Percent Difference between 150 and 135.
Hope this helps!
Answer:
350 points are possible
Step-by-step explanation:
You take 329 divided by 94% or .94 to get 350.
100% of 350 is 350
To double check, 94% of 350 is 329 & 6% of 350 is 21. 329 +21 = 350
Answer:
-5
Step-by-step explanation:
f(-2) means that -2 is going to be our input in this function.
To solve this, simply substitute -2 for x in the expression given.
If f(x) = 3x+1, then f(-2) = 3(-2) + 1
3(-2)+1 = -6+1 = -5
Hope this helped!